Answer:
35
Step-by-step explanation:
x=3x-70
because corresponding angles are congruent
Solve the equation to find x.
Answer:
41.02 meters.
Step-by-step explanation:
See the attached diagram.
The distance between the goals of a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field.
If the distance from the front of the box at one end of the field to the front of the box at the other end of the field is x meters, then we can write the equation as
5.49 + x + 5.49 = 52
⇒ x + 10.98 = 52
⇒ x = 41.02 meters. (Answer)
Answer:
(-1.92, 1.08)
Step-by-step explanation:
The <em>incenter</em> is the center of the largest circle that can be inscribed in the triangle. That circle is called the <em>incircle</em>. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the <em>inradius</em> (the radius of the incircle), is found from a simple formula:
r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs
In your triangle, the inradius is ...
r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452
Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...
incenter ≈ (-1.92, 1.08)
The length of the concrete patio is 6 1/2.
I got this answer by dividing 36 5/6 and 5 2/3. Therefore, answer is 6 1/2
First, let's add 2.75 + 0.158. First, we add the thousandths places. Now, we have 2.758 + 0.15. Next, let's add the hundredths place. This is equal to 2.808+0.1. Finally, we have the tenths place. Now, our number is 2.908.
To finish this problem, we add 0.003. 2.908 + 0.003 = 2.911, so 2.911 is the answer to this problem.